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Finding the Fourth Proportional to 411.27, 613.52 and 381.80

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Solution

The fourth proportional to 411.27, 613.52 and 381.80 is: 569.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    411.27 : 613.52 = 381.80 : x
  2. Step 2: Convert to fraction form
    411.27/613.52 = 381.80/x
  3. Step 3: Cross multiply
    411.27x = 613.52 × 381.80
  4. Step 4: Simplify right side
    411.27x = 234,242.99
  5. Step 5: Solve for x
    x = 234,242.99/411.27
  6. Step 6: Final answer
    x = 569.57

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.